# Class 10 Maths Important Questions With Answers

## MATHEMATICS

1

If  f ( x ) =
2x + 3 , g ( x ) = 1 – x2
then the values of x that satisfy the equation   g o f ( x ) = 0 are

(a)    2,
-2            ( b )   1, -2           ( c )   0 , 3              ( d )  -1 ,
-2

2

Which one of the following is the solution of the
equation

sec2 x – 2 tan x = 4 ?

(a)     π
/ 2           ( b )    π / 3           ( c )
π / 4
( d )    π
/ 6

3

If the argument of the complex number    is π /
2 then the value of a is

………………………….

4

Which of the following statements is not true ?

(a)  2n > n for all positive
integers  n.

(b)
For every positive integer n , 8n  – 5n  is divisible by 3.

(c)  12
+ 22 +32+ … + n2  >
for all
natural numbers n.

(d)  n (n
+ 1) (n + 5) is  not a
multiple of 3 where n is a positive integer.

5

From 7 consonants and 5 vowels, how many words (
with or without meaning ) can be formed consisting of 3 different  consonants and 2 different vowels?

(a) 350
(b) 42,000          (c) 4,200            (d) 21, 000

6

If in a sequence the first term is a1 =
-3 and the nth term is  an
= 1 – 2 an-1 , what is the fourth term of the sequence ?

(a)  27           (b)  – 21               (c)  31                (d)   – 25

7

If the mean of the data   9, x, 5, x, 12, 10, 18, 4, 7, 18, 21 is
known to be 10, what is the value of x ?

(a)  6               (b)  2                  (c)  3                 (d) 1

8

The length of latus rectum of the ellipse  36x2 + 4y2 =
144  is

(a)  4/9           (b)  4/3                (c) 8/3              (d)  36

9

If R1 and R2 are two equivalence relations on a
non
empty set A, then

(a) R1 U R2
is an equivalence relation on A

(b) R1 R2 is an equivalence relation on A

(c) R1– R2 is an equivalence
relation on A

(d) None of these

10

If  w is a
complex cube root of unity and A
=
, then A98
is equal to

(a) w I            (b) w2                             (c) A2
(d) A itself

11

If   y = 1 +  + ….  to
infinity where  x > 1
then   dy / dx is

(a)                 (b)                 (c)              (d)

12

If a man of height 6 ft walks at a uniform speed of 9 ft / sec  from a lamp
of height  15 ft then the length
of his shadow is increasing at the rate of

(a ) 6 ft /
sec
(b)   12
ft / sec           (c)  10 ft / sec          (d) 15 ft / sec.

### CBSE Class 10 Maths Book Pdf Free Download

13

is

(a)  – ( 2 + cot x ) -1  + c              (b)   – ( 2 + cot x ) -2  + c

(c)  ( 2 + cot x ) -1  + c               (d)  -2 ( 2 + cot x ) -1   + c

14

The value of         is

(a)    π /2
(b)    3
π / 4
(c)   5
π/4          (d)    5 π /2

15

The area of the region bounded by the curve y = 2x x2 and the line y = x is

(a)  6 sq.
units         (b)  ½
sq. units    (c)  1/6  sq. units     (d)
1/3  sq. units

16

The solution of the differential equation    is

(a)   y =  ( x- 1 ) ex  + c
(b)   xy  = ( x -1 ) ex +
c

(c)   xy   =  (
x+ 1 ) e –x  + c    ( d )
y =  ( x – 1 ) e –x   + c

17

If a space vector makes angles 150° and 60°  with
the positive direction of X and Y axes then the  angle made by the vector with the positive
direction of Z
axis is

(a)   60o             (b)   120o          (c)   30o              (d)   90o

18

The equation of the plane passing through the origin and containing
the lines whose direction cosines are proportional to 1, 2, 2 and 2, 1,
−3 is

(a)  8x  – 7 y + 3z  = 0           ( b )   8x
+7y  +3z  = 0

(c)  4x  – 7y – 3z + 2  = 0
(d )  6x  + 7y – 3z = 0

19

The maximum value of z = 10x + 6y subject to
constraints x
0, y 0,

x + y 12,  2x + y 20 is

(a)  100              (b)   104            (c)   72                ( d )   120

### CBSE Class 10 Science Book In Hindi

20

Suppose that
ﬁve good pens and two defective ones have been mixed up. To ﬁnd
the defective ones, the pens are tested one-by-one, at random and without
replacement. What is the probability that both the defective fuses are found
in the first two tests?

(a)  1/
21
(b)  5/ 7              (c)  10 / 21             d)  3/ 7